Find the following:
Find the value of a.
in ascending powers of x.
to 8 significant figures.
, prove that
Find the following. (Questions held on attachment)
Find the following:
a) The coefficient of x in the expansion of
b) The coeffiecient of x^3yz^4 in the expansion of
c) The coefficient of x^3 in the expansion of
d) The coefficient of x^5 in the expansion of is equal to the coefficient of x^4 in the expansion of. Find the value of a.
e) Write down the first four terms in the expansion of in ascending powers of x.
f) Without using a calculator, evaluate to 8 significant figures.
g) If , prove that
1)
2)
3)
There are several problems here related to binomial expansions and powers.